Question

The cost of watching videos on a website is represented by C (a) = 3.00a + 4.00, where a is the number of videos watched. The cost is increased by $15.00 if the downloading feature is enabled. Identify the new function H (a) for the cost of watching downloading videos and the transformation that has been applied.

Answer 1

Given:

`C(a)=3.00a+4.00`

where a is the number of videos watched and C(a) is the cost of watching videos on a website.

The cost is increased by $15.00 if the downloading feature is enabled.

Required:

We need to find the function H (a) for the cost of watching downloading videos.

Step-by-step explanation:

Consider the given function.

`C(a)=3.00a+4.00`

Add 15 to both sides to find H(a) because the cost is increased by $15.00.

`C(a)+15=3.00a+4.00+15`
`C(a)+15=3.00a+19.00`

Let H(a)=C(a)+15 and substitute in the equation.

`H(a)=3.00a+19.00`

C(a) is shifted 15 units up to get H(a) since the whole function is added to 15.

Final answer:

`H(a)=3.00a+19.00`

Shift 15 units up